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Simplifying 8(x + 2) = 6 + -2(5 + -3x) + 18 Reorder the terms: 8(2 + x) = 6 + -2(5 + -3x) + 18 (2 * 8 + x * 8) = 6 + -2(5 + -3x) + 18 (16 + 8x) = 6 + -2(5 + -3x) + 18 16 + 8x = 6 + (5 * -2 + -3x * -2) + 18 16 + 8x = 6 + (-10 + 6x) + 18 Reorder the terms: 16 + 8x = 6 + -10 + 18 + 6x Combine like terms: 6 + -10 = -4 16 + 8x = -4 + 18 + 6x Combine like terms: -4 + 18 = 14 16 + 8x = 14 + 6x Solving 16 + 8x = 14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + 8x + -6x = 14 + 6x + -6x Combine like terms: 8x + -6x = 2x 16 + 2x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 2x = 14 + 0 16 + 2x = 14 Add '-16' to each side of the equation. 16 + -16 + 2x = 14 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 14 + -16 2x = 14 + -16 Combine like terms: 14 + -16 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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